08:00 08:30
Registration Desk (also open on the 6th 15:30 - 18:00)
08:30 09:00
Opening Session: Frédéric Barbaresco, Frank Nielsen, Silvère Bonnabel
09:00 10:00
Keynote Speaker: Jean-Michel Bismut
The hypoelliptic Laplacian
10:00 10:30
Coffee Break
10:30 12:30
Session Computational Information Geometry
(F. Nielsen/O. Schwander)
  • Salem Said and Yannick Berthoumieu. Warped metrics for location-scale models
  • Frank Nielsen and Richard Nock. Bregman divergences from comparative convexity
  • Philippe Regnault, Valérie Girardin and Loïck Lhote. Weighted Closed Form Expressions Based on Escort Distributions for Rényi Entropy Rates of Markov Chains.
  • Remy Boyer and Frank Nielsen. On the Error Exponent of a Random Tensor with Orthonormal Factor Matrices
  • Tomonari Sei. Coordinate-wise transformation and Stein-type densities
Session “Geometrical Structures of Thermodynamics
(F. Gay-Balmaz/F. Barbaresco)
  • François Gay-Balmaz and Hiroaki Yoshimura. A variational formulation for fluid dynamics with irreversible processes
  • Hiroaki Yoshimura and François Gay-Balmaz. Dirac structures in nonequilibrium thermodynamics
  • Bernhard Maschke and Arjan van der Schaft. About the definition of port variables for contact Hamiltonian systems
  • Vitaly Mikheyev. Method of orbits of co-associated representation in thermodynamics of the lie noncompact groups
  • Frederic Barbaresco. Poly-Symplectic Model of Higher Order Souriau Lie Groups Thermodynamics for Small Data Analytics
  • Francesco Becattini. Thermodynamic equilibrium in relativity: Killing vectors and Lie derivatives
Session “Geometry of Tensor-Valued Data
(J. Angulo/Y. Berthoumieu/ G. Verdoolaege/ A.M. Djafari)
  • Aleksei Shestov and Mikhail Kumskov. A Riemannian Approach to Blob Detection in Manifold-Valued Images
  • Ioana Ilea, Lionel Bombrun, Salem Said and Yannick Berthoumieu. Co-occurrence matrix of covariance matrices: a novel coding model for the classification of texture images
  • Reiner Lenz. Positive Signal Spaces and the Mehler-Fock Transform
  • Simon Apers, Alain Sarlette and Francesco Ticozzi. Bounding the convergence time of local probabilistic evolution
  • Estelle Massart and Sylvain Chevallier. Inductive means and sequences applied to online filtering and classification of EEG
12:30 13:30
Lunch Break
13:30 15:30
Plenary Session “Probability on Riemannian Manifolds
(M. Arnaudon/A.-B. Cruzeiro)
  • Yann Ollivier and Gaétan Marceau Caron. Natural Langevin Dynamics for Neural Networks
  • Birgit H. Roensch and Wolfgang Stummer. 3D insights to some divergences for robust statistics and machine learning
  • Jean-Claude Zambrini and Marc Arnaudon. A stochastic look at geodesics on the sphere
  • Matthias Glock and Thomas Hotz. Constructing Universal, Non-Asymptotic Confidence Sets for Intrinsic Means on the Circle
  • Marco Frasca. Noncommutative geometry and stochastic processes
  • Florio Maria Ciaglia, Fabio Di Cosmo and Giuseppe Marmo. Hamilton-Jacobi theory and Information Geometry
15:30 16:00
Coffee Break
16:00 18:00
Session “Information Structure in Neuroscience
(P. Baudot/D. Bennequin/S. Roy)
  • Trang-Anh Nghiem, Olivier Marre, Alain Destxhe and Ulisse Ferrari. Pairwise Ising model analysis of human cortical neurons recordings
  • Jeong Joon Park, Ronnel Boettcher, Andrew Zhao, Alex Mun, Kevin Yuh, Vibhor Kumar and Matilde Marcolli. Prevalence and recoverability of syntactic parameters in sparse distributed memories
  • Majd Hawasly, Florian T. Pokorny and Subramanian Ramamoorthy. Multi-Scale Activity Estimation with Spatial Abstractions
  • Guido Montufar and Johannes Rauh. Geometry of Policy Improvement
  • Chenxi Li, Zelin Shi, Yunpeng Liu and Tianci Liu. Joint geometric and photometric visual tracking based on Lie group
Session “Geometric Mechanics & Robotics
(G. de Saxcé/J. Bensoam/ J. Lerbet)
  • Jean Lerbet, Noel Challamel, François Nicot and Félix Darve. Geometric Degree of Non Conservativeness
  • Abdelbacet Oueslati, An Danh Nguyen and Géry de Saxcé. A symplectic minimum variational principle for dissipative dynamical systems
  • Eric Bergshoeff, Athanasios Chatzistavrakidis, Luca Romano and Jan Rosseel. Torsional Newton-Cartan Geometry
  • Thomas Hélie and Fabrice Silva. Self-oscillations of a vocal apparatus: a port-Hamiltonian formulation
  • Frédéric Hélein, Joël Bensoam and Pierre Carré. Differential Geometry applied to Acoustics. Non Linear Propagation in Reissner Beams : an integrable system?
Session “Optimization on Manifold
(P.A. Absil/R. Sepulchre)
  • Benjamin Eltzner and Stephan Huckemann. Applying Backward Nested Subspace Inference
  • Pierre-Yves Gousenbourger, Laurent Jacques and P.-A. Absil. Fast method to fit a C1 piecewise-Bézier function to manifold-valued data points: how suboptimal is the curve obtained on the sphere S2?
  • Ronny Bergmann and Daniel Tenbrinck. Nonlocal Inpainting of Manifold-valued Data on Finite Weighted Graphs
  • Cyrus Mostajeran and Rodolphe Sepulchre. Affine-invariant orders on the set of positive-definite matrices
  • Geert Verdoolaege. Geodesic Least Squares Regression on the Gaussian Manifold: Baryonic Tully-Fisher Scaling in Disk Galaxies
18:00 19:00
Keynote Speaker: Daniel Bennequin
Geometry and Vestibular Information
19:00 20:00
Salles des Colonnes
08:30 09:00
Registration Desk
09:00 10:00
Keynote Speaker: Alain Trouvé
Hamiltonian modeling for shape evolution and Statistical modeling of shapes variability
10:00 10:30
Coffee Break
10:30 12:30
Session “Geometric Robotics & Tracking
(S. Bonnabel/A. Barrau)
  • Marion Pilte, Silvere Bonnabel and Frederic Barbaresco. Drone tracking with an IEKF and an innovative UKF
  • Silvere Bonnabel and Jean-Jacques Slotine. Particle observers for contracting dynamical systems
  • James Forbes and David Evan Zlotnik. Sigma Point Kalman Filtering on Matrix Lie Groups
  • Ivan Polekhin. A topological view on forced oscillations and control of an inverted pendulum
  • Pascal Morin, Alexandre Eudes and Glauco Scandaroli. Uniform observability of linear time-varying systems and application to robotics problems
  • Ioannis Sarras and Philippe Martin. Global exponential attitude and gyro bias estimation from vector measurements
Session “Probability Density Estimation
(S. Said/E. Chevallier)
  • Paolo Zanini, Salem Said, Yannick Berthoumieu, Marco Congedo and Christian Jutten. Riemannian Online Algorithms for Estimating Mixture Model Parameters
  • Florent Chatelain, Nicolas Le Bihan and Jonathan Manton. Density estimation for Compound Cox processes on hyperspheres
  • Hatem Hajri, Salem Said and Yannick Berthoumieu. Maximum likelihood estimators on manifolds
  • Stephane Puechmorel and Florence Nicol. Von Mises-like probability density functions on surfaces
  • Salem Said, Nicolas Le Bihan and Jonathan Manton. Riemannian Gaussian distributions on the space of positive-definite quaternion matrices
  • Emmanuel Chevallier. A family of anisotropic distributions on the hyperbolic space
Session "Applications of Distance Geometry"
(A. Mucherino/D. Gonçalves)
  • Antonio Mucherino and Douglas Gonçalves. An Approach to Dynamical Distance Geometry
  • Claudia D'Ambrosio and Leo Liberti. Distance geometry in linearizable norms
  • Philippe Jacquet and Dalia-Georgiana Herculea. Self-similar Geometry for Ad-Hoc Wireless Networks: Hyperfractals
  • Radmila Pribic. Information Distances in Stochastic Resolution Analysis
  • Frank Nielsen, Ke Sun and Stéphane Marchand-Maillet. k-Means Clustering with Hölder divergences
  • Imsoon Jeong, Gyu Jong Kim and Young Jin Suh. Real hypersurfaces in the complex quadric with certain condition of normal Jacobi operator
12:30 13:30
Lunch Break
13:30 15:10
Plenary Session “Statistics on non-linear data
(X. Pennec/S. Sommer)
  • Line Kühnel and Stefan Sommer. Stochastic Development Regression using Method of Moments
  • Benjamin Eltzner and Stephan Huckemann. Bootstrapping Descriptors for Non-Euclidean Data
  • Xavier Pennec. Sample-limited Lp Barycentric Subspace Analysis on Constant Curvature Spaces
  • Maxime Louis, Alexandre Bône, Benjamin Charlier and Stanley Durrleman. Parallel transport in shape analysis : a scalable numerical scheme for Riemannian manifolds
  • Georgios Arvanitidis, Lars Kai Hansen and Søren Hauberg. Maximum likelihood estimation of Riemannian metrics from Euclidean data
15:10 15:40
Coffee Break
15:40 17:20
Session “Shape Space
(S. Allasonnière/S. Durrleman/A. Trouvé)
  • Alice Le Brigant, Marc Arnaudon and Frederic Barbaresco. Optimal matching between curves in a manifold
  • Alexander Schmeding, Elena Celledoni, Sølve Eidnes and Markus Eslitzbichler. Shape Analysis on Lie groups and homogeneous spaces
  • Boris Khesin, Gerard Misiolek and Klas Modin. Newton's Equation on Diffeomorphisms and Densities
  • Kathrin Welker. Optimization in the Space of Smooth Shapes
  • Pierre Roussillon and Joan Alexis Glaunès. Surface Matching Using Normal Cycles
Session “Divergence Geometry
(M. Broniatowski/I. Csiszar)
  • Emmanuelle Gautherat, Patrice Bertail and Hugo Harari-Kermadec. Empirical Phi star Divergence Minimizers for Hadamard Differentiable Functionals
  • Minh Ha Quang. Log-Determinant Divergences Between Positive Definite Hilbert-Schmidt Operators
  • Wolfgang Stummer and Anna-Lena Kißlinger. Some new flexibilizations of Bregman divergences and their asymptotics
  • Zuzana Krajcovicova, Pedro Pablo Perez Velasco and Carlos Vazquez. Quantification of Model Risk: Data Uncertainty
  • Eric Grivel and Léo Legrand. Process comparison combining signal power ratio and Jeffrey's divergence between unit-power signals
Session “Geodesic Methods with Constraints”
(J.-M. Mirebeau/L. Cohen)
  • Erik Bekkers, Remco Duits, Alexey Mashtakov and Yuri Sachkov. Vessel Tracking via Sub-Riemannian Geodesics on Projective Line Bundle
  • Da Chen and Laurent Cohen. Anisotropic Edge-based Balloon Eikonal Active Contours
  • Jean-Marie Mirebeau and Johann Dreo. Automatic differentiation of non-holonomic fast marching for computing most threatening trajectories under sensors surveillance
  • Rui Vigelis, Luiza Felix and Charles Cavalcante. On the existence of paths connecting probability distributions
  • Michel Nguiffo Boyom, Aliya Naaz Siddiqui, Wan Ainun Mior Othman and Mohammad Hasan Shahid. Classification Of Totally Umbilical Slant Submanifolds In Holomorphic Statistical Manifolds With Constant Holomorphic Curvature
17:20 18:20
Keynote Speaker: Mark Girolami
Riemann Manifold Langevin and Hamiltonian Monte Carlo Methods
Room: Amphi. POINCARE
18:20 - 19:05
Session "Gender Equality  - Marie Curie 150th birthday : Women in Science
(Barbara Tumpach)
Room: Amphi. POINCARE
20:00 22:00
Gala Diner - Café LE PROCOPE
09:30 10:00
Registration Desk
10:00 12:00
Session “Optimal Transport & Applications
(J.F. Marcotorchino/A. Galichon)
  • Ryo Karakida and Shun-Ichi Amari. Information Geometry of Wasserstein Divergence
  • Damien Nogues. Anomaly detection in network traffic with a relationnal clustering criterion
  • Martin Bauer, Sarang Joshi and Klas Modin. Diffeomorphic random sampling using optimal information transport
  • Olivier Rioul. Optimal Transport to Rényi Entropies
Session “Monotone Embedding in Information Geometry
(J. Zhang/ J. Naudts)
  • Jun Zhang and Jan Naudts. Information Geometry Under Monotone Embedding. Part I: Divergence Functions
  • Jan Naudts and Jun Zhang. Information Geometry Under Monotone Embedding. Part II: Geometry
  • Hiroshi Matsuzoe, Antonio M. Scarfone and Tatsuaki Wada. A sequential structure of statistical manifolds on deformed exponential family
  • Luiza Andrade, Rui Vigelis, Leidmar Vieira and Charles Cavalcante. Normalization and varphi-function: definition and consequences
  • Luigi Montrucchio and Giovanni Pistone. Deformed exponential bundle: the linear growth case
  • Atsumi Ohara. On affine immersions of the probability simplex and their conformal flattening
Session “Non-parametric Information Geometry
L. Schwachhöfer /J. Armstrong)
  • John Armstrong and Damiano Brigo. Ito Stochastic Differential Equations as 2-Jets
  • Van Le, Juergen Jost and Lorenz Schwachhoefer. The Cramer-Rao inequality on singular statistical models
  • Shinto Eguchi and Katsuhiro Omae. Information Geometry of Predictor Functions in a Regression Model
  • Giovanni Pistone. Translations in the exponential Orlicz space with Gaussian weight
  • Marina Santacroce, Paola Siri and Barbara Trivellato. On Mixture and Exponential Connection by Open Arcs
12:00 13:00
Lunch Break
13:00 14:00
Keynote Speaker: Barbara Tumpach
Riemannian metrics on shape spaces of curves and surfaces
Room: Amphi. POINCARE
14:00 14:30
Coffee Break
14:30 16:30
Session “Optimal Transport & Applications
(Q. Merigot/J. Bigot/B. Maury)
  • Elsa Cazelles, Jérémie Bigot and Nicolas Papadakis. Regularization of Barycenters in the Wasserstein Space
  • Giovanni Conforti and Michele Pavon. Extremal curves in Wasserstein space
  • Bruno Galerne, Arthur Leclaire and Julien Rabin. Semi-Discrete Optimal Transport in Patch Space for Enriching Gaussian Textures
  • Yunan Yang and Bjorn Engquist. Analysis of Optimal Transport Related Misfit Functions in Seismic Imaging
Session “Statistical Manifold & Hessian Information Geometry
(M. Boyom/H. Matsuzoe/ Hassan Shahid)
  • Masayuki Henmi. Statistical Manifolds Admitting Torsion, Pre-contrast Functions and Estimating Functions
  • Michel Nguiffo Boyom, Mohd Aquib, Mohammad Hasan Shahid and Mohammed Jamali. Generalized Wintegen type inequality for Lagrangian submanifolds in holomorphic Statistical space forms
  • Ahmed Zeglaoui and Michel Nguiffo Boyom. The functor of Amari and Riemannian dynamics
  • Hitoshi Furuhata. Sasakian statistical manifolds II
  • Sergey Grigorian and Jun Zhang. (Para-)Holomorphic Connections for Information Geometry
  • Hideyuki Ishi. Matrix realization of a homogeneous Hessian domain
16:30 17:00
Closing session: Frédéric Barbaresco, Frank Nielsen, Silvère Bonnabel
GSI’17 Awards (Best paper & Best Student paper) & Closing session
Room: Amphi. POINCARE
Groupes / audience: